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Simplifying -23 = 2(k + -7) + -1(7k + -6) Reorder the terms: -23 = 2(-7 + k) + -1(7k + -6) -23 = (-7 * 2 + k * 2) + -1(7k + -6) -23 = (-14 + 2k) + -1(7k + -6) Reorder the terms: -23 = -14 + 2k + -1(-6 + 7k) -23 = -14 + 2k + (-6 * -1 + 7k * -1) -23 = -14 + 2k + (6 + -7k) Reorder the terms: -23 = -14 + 6 + 2k + -7k Combine like terms: -14 + 6 = -8 -23 = -8 + 2k + -7k Combine like terms: 2k + -7k = -5k -23 = -8 + -5k Solving -23 = -8 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -23 + 5k = -8 + -5k + 5k Combine like terms: -5k + 5k = 0 -23 + 5k = -8 + 0 -23 + 5k = -8 Add '23' to each side of the equation. -23 + 23 + 5k = -8 + 23 Combine like terms: -23 + 23 = 0 0 + 5k = -8 + 23 5k = -8 + 23 Combine like terms: -8 + 23 = 15 5k = 15 Divide each side by '5'. k = 3 Simplifying k = 3
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